Certification Problem
Input (COPS 364)
The rewrite relation of the following conditional TRS is considered.
|
even(0) |
→ |
true |
|
even(s(x)) |
→ |
true |
| odd(x) ≈ true
|
|
odd(s(x)) |
→ |
true |
| even(x) ≈ true
|
Property / Task
Prove or disprove confluence.Answer / Result
Yes.Proof (by ConCon @ CoCo 2020)
1 Almost-orthogonal
The given (extended) properly oriented, right-stable, oriented 3-CTRS
is almost-orthogonal,
since there are no conditional critical pairs.